3208222080 has 576 divisors, whose sum is σ = 13396153680. Its totient is φ = 731566080.

The previous prime is 3208222049. The next prime is 3208222093. The reversal of 3208222080 is 802228023.

3208222080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620270 + ... + 7620690.

Almost surely, 2^3208222080 is an apocalyptic number.

3208222080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3208222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698076840).

3208222080 is an abundant number, since it is smaller than the sum of its proper divisors (10187931600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3208222080 is an equidigital number, since it uses as much as digits as its factorization.

3208222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3208222080 is about 56641.1694794520. The cubic root of 3208222080 is about 1474.8736201209.

The spelling of 3208222080 in words is "three billion, two hundred eight million, two hundred twenty-two thousand, eighty".